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3 years ago

12

A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round to the nearest hundredt

h.

1 answer:

brilliants [131]3 years ago

8 0

So that mean 12x12=144quarter cm

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Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i

rewona [7]

Answer:

slope = $\frac{3}{7}$ and - $\frac{7}{3}$ , perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = $\frac{3}{7}$ x + 11 is in this form with m = $\frac{3}{7}$

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - $\frac{7}{3}$ x + $\frac{13}{3}$ ← in slope- intercept form

with m = - $\frac{7}{3}$

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

$\frac{3}{7}$ × - $\frac{7}{3}$ = - 1

Hence lines are perpendicular

6 0

3 years ago

Find the value of n in 7 times 38 plus 3 times 45 minus 56

Alex787 [66]

7 * 38 + 3*45 - 56
use order of operations
(7*38) + (3*45) - 56

266 + 135 - 56

=345

3 0

3 years ago

Give the slope of y- 4 = 5(x - 2) and a point on the line.

ValentinkaMS [17]

Answer:

<h2>B. The slope is 5 and (2, 4) is on the line.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point</em>

<em />

We have the equation:

$y-4=5(x-2)$

Therefore

<em>m = 5</em>

<em>(x₁, y₁) = (2, 4)</em>

<em />

5 0

3 years ago

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms

Travka [436]

Answer:

$S_5=\dfrac{170}{9}$

Step-by-step explanation:

Given that,

The sum of first n term of a sequence is $S_n=20-\dfrac{10}{2n-1}$

We need to find the sum of the first 5 terms.

Put n = 5,

$S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}$

So, the sum of first 5 terms is equal to $\dfrac{170}{9}$ .

6 0

3 years ago

How should this problem be solved?<br> (a^3)^2

fiasKO [112]

(a^3)^2
= a^(3*2)
= a^6
or
a^3 * a^3
= a^(3+3)
= a^6

7 0

3 years ago